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Finding the Fourth Proportional to 354,402.18, 531,324.23 and 176,817.86

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Solution

The fourth proportional to 354,402.18, 531,324.23 and 176,817.86 is: 265,087.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,402.18 : 531,324.23 = 176,817.86 : x
  2. Step 2: Convert to fraction form
    354,402.18/531,324.23 = 176,817.86/x
  3. Step 3: Cross multiply
    354,402.18x = 531,324.23 × 176,817.86
  4. Step 4: Simplify right side
    354,402.18x = 93,947,613,314.75
  5. Step 5: Solve for x
    x = 93,947,613,314.75/354,402.18
  6. Step 6: Final answer
    x = 265,087.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.